1. 1
   A form tutor at a secondary school recorded the favourite subject of each of her 30 students in a frequency table: Mathematics 6 students, English 5 students, Science 9 students, Art 4 students, Physical Education 6 students.

   (a)

   Which subject is the mode of this data set?

   [1 mark]

   • AMathematics
   • BEnglish
   • CPhysical Education
   • DScience

   (b)

   What fraction of the 30 students chose Physical Education as their favourite subject, given in its simplest form?

   [1 mark]

   • A$\frac{1}{6}$
   • B$\frac{1}{5}$
   • C$\frac{3}{10}$
   • D$\frac{2}{15}$

   (c)

   If this data were displayed as a pie chart, what angle would represent the Science sector?

   [1 mark]

   • A$90°$
   • B$100°$
   • C$108°$
   • D$120°$

   Total for question 1: 3 marks

2. 2
   An ice cream shop recorded its total sales (in £) for the first five weeks after opening: Week 1: £420, Week 2: £480, Week 3: £545, Week 4: £610, Week 5: £675.

   (a)

   Describe the trend in the ice cream shop's weekly sales over the five weeks shown.

   [2 marks]

   (b)

   Using the trend, estimate the shop's sales for Week 6, stating one assumption you have made.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   Two school hockey teams recorded the number of goals they scored in each of their 9 matches this season. Team A: 1, 2, 2, 3, 3, 3, 4, 5, 6. Team B has a median of 3 goals per match and a range of 4 goals.

   (a)

   Find the median and the range of the number of goals scored by Team A.

   [3 marks]

   (b)

   Compare the performance of Team A and Team B this season, using the measures found in part (a) and the information given about Team B.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A school canteen recorded the number of portions sold of five lunch options in one week: Pizza 84, Pasta 63, Salad 42, Soup 21, Jacket Potato 70 (total 280 portions). The canteen also tracked its weekly Pizza sales over the first five weeks of term: Week 1: 60, Week 2: 68, Week 3: 75, Week 4: 79, Week 5: 84.

   (a)

   The canteen manager wants a diagram that allows the popularity of the five lunch options to be compared at a glance on a small display board. State which type of statistical diagram would be most appropriate, giving one reason for your choice, and calculate the angle that would represent Jacket Potato sales if the data were instead shown on a pie chart.

   [4 marks]

   (b)

   Describe the trend in weekly Pizza sales from Week 1 to Week 5, and use it to estimate the number of Pizza portions that will be sold in Week 6.

   [4 marks]

   (c)

   The canteen manager wants to use this term's weekly Pizza sales data to predict Pizza sales for the same five weeks next year. Explain two limitations of using this data for that purpose, and suggest one way the manager could collect more reliable data for making next year's prediction.

   [5 marks]

   Total for question 4: 13 marks

End of questions